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2229966 = 232123887
BaseRepresentation
bin1000100000011011001110
311012021221100
420200123032
51032324331
6115443530
724645234
oct10403316
94167840
102229966
111293452
128b65a6
1360100b
14420954
152e0ae6
hex2206ce

2229966 has 12 divisors (see below), whose sum is σ = 4831632. Its totient is φ = 743316.

The previous prime is 2229959. The next prime is 2229967. The reversal of 2229966 is 6699222.

It is a super-2 number, since 2×22299662 = 9945496722312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 25 + 217 + 221 + 93 + 93 + 62 + 63 .

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2229966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61926 + ... + 61961.

It is an arithmetic number, because the mean of its divisors is an integer number (402636).

22229966 is an apocalyptic number.

2229966 is an abundant number, since it is smaller than the sum of its proper divisors (2601666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2229966 is a wasteful number, since it uses less digits than its factorization.

2229966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123895 (or 123892 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2229966 is about 1493.3070682214. The cubic root of 2229966 is about 130.6469916348.

The spelling of 2229966 in words is "two million, two hundred twenty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 123887 247774 371661 743322 1114983 2229966